The easiest solution now is to enter the Form 1099-R you received on your 2023 return. It wasn't a withdrawal of an excess contribution - you deducted the amount you contributed and you were qualified to deduct.
You qualified to take the deduction and you found that it appeared on your 2022 return, so it wasn't a nondeductible contribution, though your total adjustments to income reduced your adjusted gross income below your standard deduction and so you only ended up paying self-employment tax.
The IRS information return matching program will be looking for the 1099-R to appear on your 2023 return.
See this TurboTax help article for an explanation of excess contributions.
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